Essential dimension of the moduli stack of polarized K3 surfaces
Anningzhe Gao
TL;DR
This paper calculates the essential dimension of the moduli stack of polarized K3 surfaces, including cases with positive characteristic, providing key insights into their algebraic complexity.
Contribution
It introduces the computation of the essential dimension for the moduli stack of polarized K3 surfaces, extending to positive characteristic cases.
Findings
Essential dimension computed for the moduli stack of polarized K3 surfaces.
Includes results for positive characteristic fields.
Provides new algebraic complexity measures for K3 moduli stacks.
Abstract
We will calculate the essential dimension of the moduli stack of polarized K3 surfaces, including the positive char case.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Finite Group Theory Research